{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:VZFZDU6F6A3VHOSMIC3W6J3O5Q","short_pith_number":"pith:VZFZDU6F","canonical_record":{"source":{"id":"1201.2492","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-12T07:43:49Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"9bc8d0ff9bfa54da85d576543d0a813270b39839f53fdc3a5619570ba5cc5c77","abstract_canon_sha256":"dacf62b3abc78b3c2c3ff473237a0185590c51c3ecc04ef0f1fcae7ac53c5007"},"schema_version":"1.0"},"canonical_sha256":"ae4b91d3c5f03753ba4c40b76f276eec26310923c1532888fee27a5c7bcc7443","source":{"kind":"arxiv","id":"1201.2492","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2492","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2492v1","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2492","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"pith_short_12","alias_value":"VZFZDU6F6A3V","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VZFZDU6F6A3VHOSM","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VZFZDU6F","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:VZFZDU6F6A3VHOSMIC3W6J3O5Q","target":"record","payload":{"canonical_record":{"source":{"id":"1201.2492","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-12T07:43:49Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"9bc8d0ff9bfa54da85d576543d0a813270b39839f53fdc3a5619570ba5cc5c77","abstract_canon_sha256":"dacf62b3abc78b3c2c3ff473237a0185590c51c3ecc04ef0f1fcae7ac53c5007"},"schema_version":"1.0"},"canonical_sha256":"ae4b91d3c5f03753ba4c40b76f276eec26310923c1532888fee27a5c7bcc7443","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:54.049301Z","signature_b64":"kLYfgaPxqX6W5M5ny1h0IdTGL81GUiquOAQshJABt34S//hX9bw1lfkYSEHuYr2RE5otbgkaSZCPv4ieT6xGAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae4b91d3c5f03753ba4c40b76f276eec26310923c1532888fee27a5c7bcc7443","last_reissued_at":"2026-05-18T04:02:54.048382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:54.048382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.2492","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:02:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M/wol5B1Bnr2Z6T/HfU7pKDMX0jHEnJOFrj7n7Ep/oZEsitGomfdt346Smt6bDyCkYU9Xxj+/bZDVkklsgjyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:45:27.570124Z"},"content_sha256":"fd51bfb53eb8c19dd6b6a4641ad616a8f221a9ef9a1225461f0bd761b057f5ab","schema_version":"1.0","event_id":"sha256:fd51bfb53eb8c19dd6b6a4641ad616a8f221a9ef9a1225461f0bd761b057f5ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:VZFZDU6F6A3VHOSMIC3W6J3O5Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equilibration in long-range quantum spin systems from a BBGKY perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"cond-mat.stat-mech","authors_text":"Michael Kastner, Rytis Pa\\v{s}kauskas","submitted_at":"2012-01-12T07:43:49Z","abstract_excerpt":"The time evolution of $\\ell$-spin reduced density operators is studied for a class of Heisenberg-type quantum spin models with long-range interactions. In the framework of the quantum Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy, we introduce an unconventional representation, different from the usual cluster expansion, which casts the hierarchy into the form of a second-order recursion. This structure suggests a scaling of the expansion coefficients and the corresponding time scales in powers of $N^{1/2}$ with the system size $N$, implying a separation of time scales in the large syst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2492","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:02:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sDUrlOY+HED9n/VEgKge5eXE06nd/hiHVxRYpVqnL0j8LA02slckXK+7ydTkmaV0L5juBhfxUG6azco7OjuIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:45:27.570490Z"},"content_sha256":"b519de78c322333177239f5e1cee236b82db25f4bd2a3969276a6d1809799233","schema_version":"1.0","event_id":"sha256:b519de78c322333177239f5e1cee236b82db25f4bd2a3969276a6d1809799233"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VZFZDU6F6A3VHOSMIC3W6J3O5Q/bundle.json","state_url":"https://pith.science/pith/VZFZDU6F6A3VHOSMIC3W6J3O5Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VZFZDU6F6A3VHOSMIC3W6J3O5Q/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-04T19:45:27Z","links":{"resolver":"https://pith.science/pith/VZFZDU6F6A3VHOSMIC3W6J3O5Q","bundle":"https://pith.science/pith/VZFZDU6F6A3VHOSMIC3W6J3O5Q/bundle.json","state":"https://pith.science/pith/VZFZDU6F6A3VHOSMIC3W6J3O5Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VZFZDU6F6A3VHOSMIC3W6J3O5Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VZFZDU6F6A3VHOSMIC3W6J3O5Q","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dacf62b3abc78b3c2c3ff473237a0185590c51c3ecc04ef0f1fcae7ac53c5007","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-12T07:43:49Z","title_canon_sha256":"9bc8d0ff9bfa54da85d576543d0a813270b39839f53fdc3a5619570ba5cc5c77"},"schema_version":"1.0","source":{"id":"1201.2492","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2492","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2492v1","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2492","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"pith_short_12","alias_value":"VZFZDU6F6A3V","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VZFZDU6F6A3VHOSM","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VZFZDU6F","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:b519de78c322333177239f5e1cee236b82db25f4bd2a3969276a6d1809799233","target":"graph","created_at":"2026-05-18T04:02:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The time evolution of $\\ell$-spin reduced density operators is studied for a class of Heisenberg-type quantum spin models with long-range interactions. In the framework of the quantum Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy, we introduce an unconventional representation, different from the usual cluster expansion, which casts the hierarchy into the form of a second-order recursion. This structure suggests a scaling of the expansion coefficients and the corresponding time scales in powers of $N^{1/2}$ with the system size $N$, implying a separation of time scales in the large syst","authors_text":"Michael Kastner, Rytis Pa\\v{s}kauskas","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-12T07:43:49Z","title":"Equilibration in long-range quantum spin systems from a BBGKY perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2492","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fd51bfb53eb8c19dd6b6a4641ad616a8f221a9ef9a1225461f0bd761b057f5ab","target":"record","created_at":"2026-05-18T04:02:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"dacf62b3abc78b3c2c3ff473237a0185590c51c3ecc04ef0f1fcae7ac53c5007","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-12T07:43:49Z","title_canon_sha256":"9bc8d0ff9bfa54da85d576543d0a813270b39839f53fdc3a5619570ba5cc5c77"},"schema_version":"1.0","source":{"id":"1201.2492","kind":"arxiv","version":1}},"canonical_sha256":"ae4b91d3c5f03753ba4c40b76f276eec26310923c1532888fee27a5c7bcc7443","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae4b91d3c5f03753ba4c40b76f276eec26310923c1532888fee27a5c7bcc7443","first_computed_at":"2026-05-18T04:02:54.048382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:54.048382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kLYfgaPxqX6W5M5ny1h0IdTGL81GUiquOAQshJABt34S//hX9bw1lfkYSEHuYr2RE5otbgkaSZCPv4ieT6xGAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:54.049301Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2492","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd51bfb53eb8c19dd6b6a4641ad616a8f221a9ef9a1225461f0bd761b057f5ab","sha256:b519de78c322333177239f5e1cee236b82db25f4bd2a3969276a6d1809799233"],"state_sha256":"d7f0ed2772d52947d092e024bf839317b95bb970d5b09421b36f925dd62f69af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SkevueECSeUXXGm4+Xh3KhvtTPSoyQ5i/EzHLehTMn7zhxlZ29i1cd4OGKfL61vfRd0AXYffiZcz54LAOFLxBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T19:45:27.572373Z","bundle_sha256":"827193030b2f75e6eff4c8bc234d5d6417bb46ec7890061590eee4ed68ec7a73"}}